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초록
In this paper, we investigate the generalized Hyers-Ulam-Rassias stability of an n-dimensional functional equation f(Sigma(n)(i=1) x(i), Sigma(n)(i=0) y(i)) + Sigma(1 <= i<j <= n) f(x(i) - x(j), y(i) - y(j)) = n Sigma(n)(i=1) f(x(i), y(i)), (n >= 2).
키워드
Hyers-Ulam-Rassias stability; Quadratic function; 2-Variable quadratic functional equation; ULAM-RASSIAS STABILITY; BANACH-SPACES; MAPPINGS
- 제목
- ON THE STABILITY OF AN n-DIMENSIONAL FUNCTIONAL EQUATION ORIGINATING FROM QUADRATIC FORMS
- 저자
- Najati, Abbas; Park, Choonkil
- 발행일
- 2008-10
- 유형
- Article
- 권
- 12
- 호
- 7
- 페이지
- 1609 ~ 1624